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Finding the Third Proportional to 196,459.17 and 300,326.48

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Solution

The third proportional to 196,459.17 and 300,326.48 is: 459,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,459.17 : 300,326.48 = 300,326.48 : x
  2. Step 2: Convert to fraction form
    196,459.17/300,326.48 = 300,326.48/x
  3. Step 3: Cross multiply
    196,459.17x = 300,326.48 × 300,326.48
  4. Step 4: Simplify right side
    196,459.17x = 90,195,997,217.05
  5. Step 5: Solve for x
    x = 90,195,997,217.05/196,459.17
  6. Step 6: Final answer
    x = 459,108.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.